5X^2-96X-576=0

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Solution for 5X^2-96X-576=0 equation:


Simplifying
5X2 + -96X + -576 = 0

Reorder the terms:
-576 + -96X + 5X2 = 0

Solving
-576 + -96X + 5X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-24 + -5X)(24 + -1X) = 0

Subproblem 1

Set the factor '(-24 + -5X)' equal to zero and attempt to solve: Simplifying -24 + -5X = 0 Solving -24 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -5X = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -5X = 0 + 24 -5X = 0 + 24 Combine like terms: 0 + 24 = 24 -5X = 24 Divide each side by '-5'. X = -4.8 Simplifying X = -4.8

Subproblem 2

Set the factor '(24 + -1X)' equal to zero and attempt to solve: Simplifying 24 + -1X = 0 Solving 24 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1X = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1X = 0 + -24 -1X = 0 + -24 Combine like terms: 0 + -24 = -24 -1X = -24 Divide each side by '-1'. X = 24 Simplifying X = 24

Solution

X = {-4.8, 24}

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